completely factor the given polynomial, if possible. if the polynomial cannot be factored, indicate
ot factorable\.

\16a^3 + 18a^2 - 8a - 9\

Question

completely factor the given polynomial, if possible. if the polynomial cannot be factored, indicate
ot factorable\.

\16a^3 + 18a^2 - 8a - 9\

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Factoring by Grouping", "Difference of Squares" ], "new_concepts": [], "current_concepts": [ "Factoring by Grouping", "Difference of Squares", "Factoring Polynomials" ] } ## Group the terms Using the *Factoring by Grouping* knowledge point $$ (16a^3 + 18a^2) - (8a + 9) $$ ## Factor out the GCF from each group Using the *Factoring by Grouping* knowledge point $$ 2a^2(8a + 9) - 1(8a + 9) $$ ## Factor out the common binomial Using the *Factoring by Grouping* knowledge point $$ (2a^2 - 1)(8a + 9) $$ Completely factor the given polynomial, if possible. If the polynomial cannot be factored, indicate "Not Factorable". $16a^3 + 18a^2 - 8a - 9 =$ $(2a^2 - 1)(8a + 9)$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Factoring by Grouping" ] }

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QUESTION IMAGE

Question

Explanation:

Group the terms

Factor out the GCF from each group

Factor out the common binomial

Answer: